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Finding the Fourth Proportional to 411,745.64, 568,211.81 and 230,474.34

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Solution

The fourth proportional to 411,745.64, 568,211.81 and 230,474.34 is: 318,056.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,745.64 : 568,211.81 = 230,474.34 : x
  2. Step 2: Convert to fraction form
    411,745.64/568,211.81 = 230,474.34/x
  3. Step 3: Cross multiply
    411,745.64x = 568,211.81 × 230,474.34
  4. Step 4: Simplify right side
    411,745.64x = 130,958,240,737.58
  5. Step 5: Solve for x
    x = 130,958,240,737.58/411,745.64
  6. Step 6: Final answer
    x = 318,056.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.